1007677507712 has 72 divisors (see below), whose sum is σ = 2033863058565. Its totient is φ = 497302768128.

The previous prime is 1007677507703. The next prime is 1007677507717. The reversal of 1007677507712 is 2177057767001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1006618916416 + 1058591296 = 1003304^2 + 32536^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=709816.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1007677507717) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 942635114 + ... + 942636182.

Almost surely, 2^{1007677507712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1007677507712

1007677507712 is an abundant number, since it is smaller than the sum of its proper divisors (1026185550853).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1007677507712 is an frugal number, since it uses more digits than its factorization.

1007677507712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 1008420, while the sum is 50.

Multiplying 1007677507712 by its sum of digits (50), we get a square (50383875385600 = 7098160²).

The spelling of 1007677507712 in words is "one trillion, seven billion, six hundred seventy-seven million, five hundred seven thousand, seven hundred twelve".